Dale: The examples listed here are good general rules, but one thing to keep in mind is in the mid-to-lower price tiers, open-back headphones aren’t nearly as common as the closed types. The smaller list of choices, and the more limited reviews of those items, could make getting a perfect fit more difficult. Sound stage and openness are often given as the advantage of the open-back types, but it’s just a general rule and some closed-back headphones excel at those properties. An important thing to consider is the music itself, since sound stage and perspective varies widely in different recordings.
Earbuds have small speakers that rest on the ear canal of the wearer. These are usually much less expensive than on-ear and over-ear headphones and reproduce the sound well. However, outside sounds, such as traffic or power tools, can get past the earbuds and interfere with your enjoyment. Earbuds also don't stay in place very well if the wearer is moving much, such as exercising. These also are lower fidelity than on-ear and over-ear headphones.